Most Germans do not pronounce 'ich' as 'eek'. It's more akin to 'eech' (pronouncing the 'ch' as in loch, chwarae etc). And it's the same in Hochdeutsch (Standard German).
But phonetically eech is eek or close as in my mind, and it is only my spelling of a word that doesn't actuallu exist. and I quite sure you knew exactly what i emant. Pedantry for the sake of it.